Question

Find the odds of each outcome if a computer randomly picks a letter in the name THE UNITED STATES OF AMERICA.

The letter T

Short answer

The odds of getting letter T is $\frac{1}{6}$.

Step-by-step solution

Step 1. Apply the basic formula for probability.

The probability of an event is given by the following formula:

$\text{Probabilityofanoutcome}=\frac{\text{numberoffavoriteoutcome}}{\text{totaloutcome}}$

Step 2. Write the given information.

From the given information it can be seen that there are 24 letters in the given name, and the desired outcome that is letter T is repeated 4 times in the name.

Hence the number of favorite outcome is 4 and total outcomes are 24.

- Description of step.

Substitute the number of favorite outcomes and total outcomes in the formula.

$\begin{array}{c}P\left(\text{letterT}\right)=\frac{4}{24}\\ =\frac{1}{6}\end{array}$

Thus, the odds of getting letter T is $\frac{1}{6}$.